10121100012 has 120 divisors (see below), whose sum is σ = 27235454400. Its totient is φ = 3276046944.

The previous prime is 10121099999. The next prime is 10121100019. The reversal of 10121100012 is 21000112101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10121099967 and 10121100003.

It is not an unprimeable number, because it can be changed into a prime (10121100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1583439 + ... + 1589817.

It is an arithmetic number, because the mean of its divisors is an integer number (226962120).

Almost surely, 2^10121100012 is an apocalyptic number.

10121100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617727200).

10121100012 is an abundant number, since it is smaller than the sum of its proper divisors (17114354388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10121100012 is a wasteful number, since it uses less digits than its factorization.

10121100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121100012 its reverse (21000112101), we get a palindrome (31121212113).

The spelling of 10121100012 in words is "ten billion, one hundred twenty-one million, one hundred thousand, twelve".